CONJUGATE FILM FLOW DOWN A HEATED VERTICAL WALL

Citation
I. Pop et al., CONJUGATE FILM FLOW DOWN A HEATED VERTICAL WALL, Zeitschrift fur angewandte Mathematik und Mechanik, 77(2), 1997, pp. 151-154
Citations number
18
Categorie Soggetti
Mathematics,"Mathematical Method, Physical Science",Mechanics,Mathematics
ISSN journal
00442267
Volume
77
Issue
2
Year of publication
1997
Pages
151 - 154
Database
ISI
SICI code
0044-2267(1997)77:2<151:CFFDAH>2.0.ZU;2-Z
Abstract
The conjugate flow of a film down a heated vertical wall of finite len gth is investigated theoretically. It is shown that the momentum bound ary-lager equation leads to an exact solution for the velocity field, but the energy equation is nonsimilar. Solutions of this nonsimilar eq uation, subject to appropriate boundary conditions; are obtained numer ically using an efficient finite-difference scheme. Series solutions w hich are valid near the leading edge of the wall and far downstream ar e also obtained and compared with the corresponding numerical solution s. The distribution of the surface wall temperature and in the film re gion are also determined for values of the Prandtl number of 0.6 (air) and 6.7 (water).